SOLUTION: In a test of H0 : &#956; = 100 against Ha : &#956; < 100, a random sample of size 65 produces a sample mean of 103 and a p-value of 0.08. Thus, at the 0.05 level of significance:

Algebra ->  Probability-and-statistics -> SOLUTION: In a test of H0 : &#956; = 100 against Ha : &#956; < 100, a random sample of size 65 produces a sample mean of 103 and a p-value of 0.08. Thus, at the 0.05 level of significance:       Log On


   



Question 374118: In a test of H0 : μ = 100 against Ha : μ < 100, a random sample of size 65 produces a sample mean of 103 and a p-value of 0.08. Thus, at the 0.05 level of significance:
A. we cannot reject the claim that the population mean is less than 100.
B. we can reject the claim that the population mean is less than 100.
C. we can reject the claim that the population mean is 100.
D. we cannot reject the claim that the population mean is 100.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Because the p-value is larger than the level of significance, this means that the observed statistic does NOT lie in the rejection region. So we cannot reject the null hypothesis H%5Bo%5D.


So the answer is D)